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873830916 = 2235732621
BaseRepresentation
bin110100000101011…
…001101000000100
32020220021012200000
4310011121220010
53242200042131
6222413121300
730440304000
oct6405315004
92226235600
10873830916
11409289112
12204789230
1310c06331a
14840a7700
1551aacce6
hex34159a04

873830916 has 144 divisors (see below), whose sum is σ = 2672342400. Its totient is φ = 249570720.

The previous prime is 873830911. The next prime is 873830933. The reversal of 873830916 is 619038378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (873830911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332086 + ... + 334706.

Almost surely, 2873830916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873830916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336171200).

873830916 is an abundant number, since it is smaller than the sum of its proper divisors (1798511484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873830916 is a wasteful number, since it uses less digits than its factorization.

873830916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 873830916 is about 29560.6311840597. The cubic root of 873830916 is about 956.0394249131.

The spelling of 873830916 in words is "eight hundred seventy-three million, eight hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 756 882 972 1029 1134 1323 1372 1701 1764 2058 2268 2621 2646 3087 3402 3969 4116 5242 5292 6174 6804 7863 7938 9261 10484 11907 12348 15726 15876 18347 18522 23589 23814 27783 31452 36694 37044 47178 47628 55041 55566 70767 73388 83349 94356 110082 111132 128429 141534 165123 166698 212301 220164 256858 283068 330246 333396 385287 424602 495369 513716 636903 660492 770574 849204 899003 990738 1155861 1273806 1486107 1541148 1798006 1981476 2311722 2547612 2697009 2972214 3467583 3596012 4458321 4623444 5394018 5944428 6935166 8091027 8916642 10402749 10788036 13870332 16182054 17833284 20805498 24273081 31208247 32364108 41610996 48546162 62416494 72819243 97092324 124832988 145638486 218457729 291276972 436915458 873830916